Search a number
-
+
40000585536 = 2633471074603
BaseRepresentation
bin100101010000001110…
…000111111101000000
310211020201011021201000
4211100032013331000
51123410122214121
630213115212000
72614152236622
oct452016077500
9124221137630
1040000585536
1115a67318a5a
127904147000
133a06228c32
141d166c0c12
151091aa0526
hex950387f40

40000585536 has 224 divisors, whose sum is σ = 121245050880. Its totient is φ = 12925066752.

The previous prime is 40000585531. The next prime is 40000585577. The reversal of 40000585536 is 63558500004.

40000585536 is a `hidden beast` number, since 40 + 0 + 0 + 0 + 5 + 85 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40000585536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40000585531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8687811 + ... + 8692413.

Almost surely, 240000585536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40000585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60622525440).

40000585536 is an abundant number, since it is smaller than the sum of its proper divisors (81244465344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40000585536 is a wasteful number, since it uses less digits than its factorization.

40000585536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 40000585536 in words is "forty billion, five hundred eighty-five thousand, five hundred thirty-six".